{"id":"vidhyamitra:city-day:mathura:2070-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2070-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2070-07-31","date_display":"July 31, 2070 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2070,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477323.770833,"kali_year":5172,"ahargana":1888858.2708,"sun":{"sidereal_longitude":102.6982,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":19.2189,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":276.5208,"elapsed_within_tithi_degrees":0.5208},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.2189,"elapsed_within_degrees":5.8856},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.9171},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2070,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477323.770833,"ahargana":1888858.2708,"kali_year":5172,"ayanamsa_lahiri":24.8389,"grahas":{"sun":{"sidereal_longitude":103.39437199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":17.495771999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-1.5392},"mars":{"sidereal_longitude":135.39727200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":127.80247200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":3.5304719999999747,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":83.82397200000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":168.84117200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":179.199,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":359.199,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2070,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477323.770833,"kali_year":5172,"ahargana":1888858.2708,"sun":{"sidereal_longitude":102.6982,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":19.2189,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":276.5208,"elapsed_within_tithi_degrees":0.5208},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.2189,"elapsed_within_degrees":5.8856},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":121.9171},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.539,"elongation":83.479},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.539,"opposition_distance":96.521}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:42","sunsetLocal":"19:09","solarNoonLocal":"12:25","dayLengthHours":13.447931890311132,"dayLengthDisplay":"13 Hours 26 Mins 53 Secs","nightLengthDisplay":"10 Hours 33 Mins 07 Secs","moonriseLocal":"00:06","moonsetLocal":"13:18","rahuKala":{"name":"Rāhu Kāla","start":"14:06","end":"15:47","startHours":14.103934394828073,"endHours":15.784925881116964,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:42","end":"07:23","startHours":5.698976963383615,"endHours":7.379968449672506,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:45","startHours":9.060959935961398,"endHours":10.741951422250288,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.836827737789545,"endHours":9.28509213413325,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.259307458813245,"endHours":6.617918975888209,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.974678512195476,"endHours":12.871207304882885,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:48","startHours":3.905919378008797,"endHours":4.802448170696206,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:42","startHours":4.578315972524353,"endHours":5.698976963383615,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.664264890257703,"endHours":15.560793682945112,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.946908853694747,"endHours":19.346908853694746,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:42","startHours":19.146908853694747,"endHours":19.70723934912438,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.896908853694747,"endHours":20.646908853694747,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.974678512195478,"endHours":24.871207304882883,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:42","end":"07:23","startHours":5.698976963383615,"endHours":7.379968449672506,"quality":"auspicious"},{"name":"Roga","start":"07:23","end":"09:04","startHours":7.379968449672506,"endHours":9.060959935961398,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:45","startHours":9.060959935961398,"endHours":10.741951422250288,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:25","startHours":10.741951422250288,"endHours":12.42294290853918,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:06","startHours":12.42294290853918,"endHours":14.103934394828073,"quality":"auspicious"},{"name":"Amṛta","start":"14:06","end":"15:47","startHours":14.103934394828073,"endHours":15.784925881116964,"quality":"auspicious"},{"name":"Kāla","start":"15:47","end":"17:28","startHours":15.784925881116964,"endHours":17.465917367405854,"quality":"inauspicious"},{"name":"Śubha","start":"17:28","end":"19:09","startHours":17.465917367405854,"endHours":19.146908853694747,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:09","end":"20:28","startHours":19.146908853694747,"endHours":20.465917367405854,"quality":"auspicious"},{"name":"Kāla","start":"20:28","end":"21:47","startHours":20.465917367405854,"endHours":21.784925881116962,"quality":"inauspicious"},{"name":"Śubha","start":"21:47","end":"23:06","startHours":21.784925881116962,"endHours":23.103934394828073,"quality":"auspicious"},{"name":"Roga","start":"23:06","end":"00:25","startHours":23.103934394828073,"endHours":24.42294290853918,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:45","startHours":24.42294290853918,"endHours":25.74195142225029,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:04","startHours":25.74195142225029,"endHours":27.0609599359614,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:23","startHours":27.0609599359614,"endHours":28.379968449672507,"quality":"auspicious"},{"name":"Amṛta","start":"04:23","end":"05:42","startHours":28.379968449672507,"endHours":29.698976963383615,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.698976963383615,"endHours":6.698976963383615,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.698976963383615,"endHours":7.698976963383615,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.698976963383615,"endHours":8.698976963383615,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.698976963383615,"endHours":9.698976963383615,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.698976963383615,"endHours":10.698976963383615,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.698976963383615,"endHours":11.698976963383615,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.698976963383615,"endHours":12.698976963383615,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.698976963383615,"endHours":13.698976963383615,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.698976963383615,"endHours":14.698976963383615,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.698976963383615,"endHours":15.698976963383615,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.698976963383615,"endHours":16.698976963383615,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.698976963383615,"endHours":17.698976963383615,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.698976963383615,"endHours":18.698976963383615,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.698976963383615,"endHours":19.698976963383615,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.698976963383615,"endHours":20.698976963383615,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.698976963383615,"endHours":21.698976963383615,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.698976963383615,"endHours":22.698976963383615,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.698976963383615,"endHours":23.698976963383615,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.698976963383615,"endHours":24.698976963383615,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.698976963383615,"endHours":25.698976963383615,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.698976963383615,"endHours":26.698976963383615,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.698976963383615,"endHours":27.698976963383615,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.698976963383615,"endHours":28.698976963383615,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.698976963383615,"endHours":29.698976963383615,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.205005697423953,"eotMinutes":-6.071374512350812,"ayanamsa":24.8389}},"calendars":{"vikram_samvat":2127,"vikram_samvatsara":"Śobhana","saka_samvat":1992,"saka_samvatsara":"Vikṛti","bengali_samvat":1477,"malayalam_era":1246,"nanakshahi_year":601,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2127 Śobhana · Śaka 1992 Vikṛti"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 31, 2070 CE · Mathurā · Vidhyamitra","description":"July 31, 2070 CE for Mathurā: Kṛṣṇa Navamī, sūryodaya 05:42, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2070-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2070-07-31","sa":"https://sa.vidhyamitra.com/city/mathura/2070-07-31","hi":"https://hi.vidhyamitra.com/city/mathura/2070-07-31","x-default":"https://vidhyamitra.com/city/mathura/2070-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:48:43.147Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T14:48:43.147Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:48:43.147Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}